{"id":"https://openalex.org/W2145091217","doi":"https://doi.org/10.1109/isit.2012.6284000","title":"The Jacobi MIMO channel","display_name":"The Jacobi MIMO channel","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2145091217","doi":"https://doi.org/10.1109/isit.2012.6284000","mag":"2145091217"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2012.6284000","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6284000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069831880","display_name":"Ronen Dar","orcid":"https://orcid.org/0000-0002-3505-3490"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Ronen Dar","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066905280","display_name":"Meir Feder","orcid":"https://orcid.org/0000-0002-1290-0482"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Meir Feder","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036943764","display_name":"Mark Shtaif","orcid":"https://orcid.org/0000-0003-2580-610X"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Mark Shtaif","raw_affiliation_strings":["School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Tel Aviv University, Tel-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"School of Electrical Engineering , Tel-Aviv University , Tel-Aviv 69978 , Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5069831880"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.6133,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71096975,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"48","issue":null,"first_page":"2651","last_page":"2655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fading","display_name":"Fading","score":0.6107808947563171},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.598736584186554},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.5737882256507874},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.514746904373169},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41395044326782227},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39736711978912354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3950158953666687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32374268770217896},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.29438668489456177},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2793835997581482},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2310342788696289},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.2231590747833252},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16946345567703247}],"concepts":[{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.6107808947563171},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.598736584186554},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.5737882256507874},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.514746904373169},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41395044326782227},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39736711978912354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3950158953666687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32374268770217896},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.29438668489456177},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2793835997581482},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2310342788696289},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.2231590747833252},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16946345567703247},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2012.6284000","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2012.6284000","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE International Symposium on Information Theory Proceedings","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1972485395","https://openalex.org/W2046351805","https://openalex.org/W2060574886","https://openalex.org/W2072184935","https://openalex.org/W2094933406","https://openalex.org/W2129766733","https://openalex.org/W2130509920","https://openalex.org/W2133475491","https://openalex.org/W2145091217","https://openalex.org/W2952036644","https://openalex.org/W4293005804","https://openalex.org/W4362230038","https://openalex.org/W6668545817"],"related_works":["https://openalex.org/W2327053383","https://openalex.org/W2356834760","https://openalex.org/W1964600846","https://openalex.org/W2390585021","https://openalex.org/W2127563499","https://openalex.org/W2120897947","https://openalex.org/W2030191005","https://openalex.org/W412641959","https://openalex.org/W50969306","https://openalex.org/W1865172210"],"abstract_inverted_index":{"In":[0,99,112],"the":[1,5,11,40,43,51,54,79,93,97,100,105,109,113,154,161],"Jacobi":[2,45,162],"MIMO":[3],"channel":[4,62,142,163],"transfer":[6],"matrix":[7],"H":[8,38],"which":[9],"couples":[10],"m":[12,18,118],"<sub":[13,19,119,123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[14,20,120,124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</sub>":[15,121],"inputs":[16],"into":[17],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sub>":[21,125],"outputs":[22],"is":[23,75],"a":[24,61,145,166],"sub-matrix":[25],"of":[26,37,42,47,53,96,133],"an":[27],"m\u00d7m":[28],"random":[29,48],"(Haar-distributed)":[30],"unitary":[31],"matrix.":[32],"The":[33],"(squared)":[34],"singular":[35],"values":[36],"follow":[39],"law":[41],"classical":[44],"ensemble":[46],"matrices;":[49],"hence":[50],"name":[52],"channel.":[55,98],"A":[56],"motivation":[57],"to":[58,83,138,170],"define":[59],"such":[60],"comes":[63],"from":[64],"multimode/multicore":[65],"optical":[66],"fiber":[67],"communication.":[68],"It":[69],"turns":[70],"out":[71],"that":[72,160],"this":[73],"model":[74,169],"qualitatively":[76],"different":[77],"than":[78],"Rayleigh":[80],"model,":[81],"leading":[82],"interesting":[84],"practical":[85],"and":[86,108],"theoretical":[87],"results.":[88],"This":[89],"work":[90],"first":[91],"evaluates":[92],"ergodic":[94],"capacity":[95],"non-ergodic":[101],"case,":[102],"it":[103],"analyzes":[104],"outage":[106,147],"probability":[107,148],"diversity-multiplexing":[110],"tradeoff.":[111],"case":[114],"where":[115],"k":[116,131],"=":[117],"+m":[122],"-m":[126],">;":[127],"0":[128],"at":[129,153],"least":[130],"degrees":[132],"freedom":[134],"are":[135],"guaranteed":[136],"not":[137],"fade":[139],"for":[140],"any":[141],"realization":[143],"enabling":[144],"zero":[146],"or":[149],"infinite":[150],"diversity":[151],"order":[152],"corresponding":[155],"rates.":[156],"Finally,":[157],"we":[158],"note":[159],"may":[164],"provide":[165],"new":[167],"fading":[168],"other":[171],"applications.":[172]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}